{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Etape 5 : Activité : Correction : Modélisation d'un mouvement parabolique" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ":download:`Télécharger le pdf <./mvt_parabolique_modelisation_correction.pdf>` |\n", ":download:`Télécharger le notebook <./mvt_parabolique_modelisation_correction.ipynb>` |\n", ":download:`Lancer le notebook sur binder (lent) `" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Création des tableaux de valeurs avec la bibliothèque numpy\n", "\n", "t=np.array([0.0, 0.04, 0.08, 0.12, 0.16, 0.2, 0.24, 0.28, 0.32, \n", " 0.36, 0.4, 0.44, 0.48, 0.52, 0.56, 0.6, 0.64, 0.68, 0.72]) \n", "\n", "x=np.array([-0.003, 0.065, 0.140, 0.214, 0.287, 0.362, 0.435, \n", " 0.514, 0.584, 0.663, 0.739, 0.815, 0.890, 0.9662, \n", " 1.039, 1.115, 1.191, 1.270, 1.340])\n", "\n", "y=np.array([0.0, 0.143, 0.267, 0.376, 0.472, 0.553, 0.618, 0.666,\n", " 0.694, 0.713, 0.713, 0.696, 0.660, 0.618, 0.553, 0.469,\n", " 0.374, 0.261, 0.135])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ecrire ci-dessous les lignes de code permettant d'afficher sur un même graphique les courbes x=f(t) et y=f(t)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Reprise du programme vu précédemment \n", "fig = plt.figure(figsize=(12,10))\n", "plt.plot(t,y,'r+',label='y=f(t)')\n", "plt.plot(t,x,'.b',label='x=f(t)')\n", "plt.legend()\n", "plt.xlabel(\"temps t (s)\")\n", "plt.ylabel(\"coordonnée (m)\")\n", "plt.grid()\n", "plt.title(\"Evolution des coordonnées au cours d'un mouvement parabolique\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ecrire ci-dessous les lignes de code permettant de modéliser correctement la courbe y=f(t) et de créer une liste contenant le modèle." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-4.97991302e+00 3.77571281e+00 -2.13984962e-03]\n", "-5.0 3.8 -0.0\n" ] } ], "source": [ "coeff=np.polyfit(t, y,2)\n", "\n", "# Affichage du tableau coeff\n", "print(coeff)\n", "\n", "# Affichage des valeurs contenues dans le tableau avec une décimale\n", "print ('{0:.1f}'.format(coeff[0]), \n", " '{0:.1f}'.format(coeff[1]),\n", " '{0:.1f}'.format(coeff[2]))\n", "\n", "# Création puis affichage d'un tableau Ymodel regroupant les valeurs de la\n", "# coordonnée y modélisée par une fonction polynôme de degré 2.\n", "Ymodel = coeff[0]*t**2+coeff[1]*t+coeff[2]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ecrire ci-dessous les lignes de code permettant d'afficher la courbe y=f(t) ainsi que la courbe du modèle." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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iIiJSDgk3hlpERESkLHbv3s3y5cvZsWNHocvUq1eP+fPnV2Cqyi1R2rN69eo0b96ctLS0Mt1fBbWIiIgkheXLl1OnTh3S09MxswKX2bx5M3Xq1KngZJVXIrSnc45169axfPlyWrVqVabH0JAPERERSQo7duygUaNGhRbTkpzMjEaNGhX5y0VxVFCLiIhI0lAxLQUp73ahglpEREREpBxUUIuIiIjEsc8++4wOHTrQtWtXtm/fzsqVKzn55JMBmDt3Lu+8807usm+99Ra33nprWFGTlgpqERERkaJkZIT69C+++CI33ngjc+fOpUaNGtx7771cdNFFwO8L6pNOOok333yTbdu2hRU3KamgFhERESnKbbdF5WFuvfVW7r///tzpm2++mQceeKDI+zz55JO89NJL3HLLLQwZMgSAyZMnc/zxx7Nr1y5uvfVWJk2aRNeuXZk0aRJmRr9+/XjrrbeikllKRofNExEREakAw4cP5/TTT+eKK64gOzubiRMn8vHHH9O1a9cClx8/fjwjRoxg6tSpnHzyyZx55pksXryYBg0aUK1aNQBuv/12Zs6cycMPP5x7v+7du/PZZ58xaNCgClkvUUEtIiIi8nsZGXv3TOccBWLMmDIPAUlPT6dRo0bMmTOHVatW0a1bN1q2bMncuXNL/BgrV65kn332KXKZJk2asGLFijJllLJRQS0iIiKSX0ZGXuFsBs5F5WFHjBjBuHHj+PXXXxk+fDibN2+mb9++BS47fvx42rdvv9dtNWrUKPZ4yTt27KBGjRpRySslo4JaREREpIIMHDiQW2+9ld27dzN+/HhSU1NL1UPdtm1blixZkjtdp04dNm/evNcyCxYsoGPHjtGKLCWgnRJFREREijJmTNQeqmrVqvTv359BgwaRmppa6vvXqlWL1q1bs3DhQgD69+/Pd999l7tTIsAnn3zCSSedFLXMUjz1UIuIiIgUJYqHzcvOzmb69On897//LfF9xo0bt9f0qFGjGDduHGPHjqVhw4Z89dVXufNWrVrF9u3b6dSpU7QiSwmoh1pERESkAnz33XccdNBBHHXUUbRp06bMjzNw4EDS09MLnLd06VL+9a9/lfmxpWzUQy0iIiJSAdq3b8+iRYui8lgjRowo8PYePXpE5fGldNRDLSIiIiJSDiqoRUSSQcinTs6Rnm8sqIhIZaCCWkQkGUTp1Mnllf7ss2FHEBGJOhXUIiIiIiLloIJaRKQSys6GKRc+wyw7DMzYQyp1bRP/tGshI4OtW6FJE3jkEb/8hg3QogU8/bSfXrMG2rSBCRP89MqV0LEjvPqqn162DLp3h3ff9dOLFkHv3vDJJ376xx/hqKPg88+BjAzm2yGcbG/xGX38WefM4mYYikhlsGDBAl5//fWwYyQtFdQiIpXEzp3w009504PevZB7zp6Ve8rkEVfWpev7/4SMDFJT4cwzoW1bv2yVKnDssXDAAXnTPXv6ohsgNRUOPhjq1fPTKSmw775QvbqfNoOaNf1y4Av6Xbv8XzIy2D1vPj93PJnGrAXnmD3L8Y+0DDZsiG2biFRm6enprF27FvBnUJwzZw6v5nzrLWCZMGVmZnLyySeX6j6R2f/4xz/GIlbU6LB5IiIJbM8eX/wCnHKK71meM8cXvG+/HVEwk8W99+bdr3p1+Pe/86Zr14annsqbbtAAXnwxb7pJE3j55bzp/feHt97Km27VCj74IG+6XTv47LO86c6d4ZtvAPsegE8/hX/8A0aP9vPnzfOZ2rUrfRuIiJcR8q8+e/bsoUqV2JSWn3/+eUweN1rUQy0ikqAefNAP09i1y09fc40vUoMOaQ47DOrUCRaO4qmTy2PJBRcAcOWV8MsvefluvBGOPz4v+8aNIQWUpNKvH+QceGb3bj89caIvCLdt89PB2bzZuNFPv/KKn1671k+/+aaf/vXX4p9vyZIlHHzwwQwbNoy2bdsyZMgQPvzwQ3r37k2bNm2YMWMGAL/99ht/+tOf6Ny5M3/4wx/4+uuvAVi3bh3HHnssHTp0YMSIEbicfxjghRdeoGfPnnTp0oWRI0eSlZX1u+fPWaZr166FLpOens51111Hp06d6NmzZ+4pzt9880169epFt27dOProo1m1ahXgi/ihQ4fSu3dvhg4dypIlS+jbty+HHnoohx56KF9++WXuY2/atImTTjqJdu3acckll5CdnQ3AhAkT6NSpEx07duT6668vsO1q164NgHOOUaNG0a5dO44++mhOPPFEXg6+7Uf2aM+cOZN+/foBsHXrVoYPH07Pnj3p1q1bTIbGqKAWEUkQs2b5ccnLl/vpjh1h0CDYutVPH3ssnHiiH37xO3EyXnnJsGG51xs0yLv98cfh+ed9duegRw8YObLi84nE2sKFC7n66qv5/vvv+f777xk/fjxTp07lnnvu4Y477gBgzJgxdOvWja+//po77riD888/H4DbbruNPn368O233zJw4ECWLl0KwPz585k4cSLTpk1j3rx5gC+eI82fP59JkyYxbdo05s6dS2pqKi9G/gwVoV69enzzzTeMGjWKK664AoA+ffowffp05syZw9lnn83dd9+du/x3333Hhx9+yIQJE2jSpAkffPABs2fPZtKkSVx33XW5y82YMYOHHnqI7777jp9++olXXnmFFStWcP311/Pxxx8zd+5cvvrqK1577bVC2+/VV1/lhx9+4LvvvuO5554rUc/1P/7xDwYMGMCMGTP45JNPuPbaa9ma88YZJRryISISpzZuhEcfhWOO8b3NtWrBihW+oG7eHAYM8JfKoHlzfwHIyoJRo/wwEvBfGI46yneyn3BCeBml8snMzLueluanN2/eA/h9AiLn16u393TjxntP77tvyZ6zVatWdOrUCYAOHTpw1FFHYWZ06tSJJUuWADB16lQmT54MwIABA1i3bh2bNm1iypQpvBJ0kZ900kk0CL6VfvTRR8yfP59jjjkGgC1bttCiRYu9nvejjz5i1qxZuWdS3L59O01ydpLI55xzzsn9e+WVVwKwfPlyBg8ezMqVK9m1axetcv5BgVNPPZUaNWoAsHv3bkaNGpVbtC9YsCB3uZ49e3LggQfmPvbUqVNJS0ujX79+7LPPPgAMGTKEKVOm8Kc//anAbFOmTOGcc84hNTWVZs2aMaAEb4Lvv/8+b7zxBvfccw8AO3bsYOnSpRxyyCHF3rekYlpQm9nxwANAKvCkc+6ufPPvA/oHkzWBJs65+rHMJCISr5yDuXP9uOgePfwOfrff7sdDH3aY3ylw/vywU8ZelSp5Y6vB/5SelgbB5zWLF8MLL/ge7ELqAZG4Va1atdzrKSkpudMpKSns2bOnTI/pnOOss87irrvuKnKZCy64gDvvvLPYx7OIn7lyrl922WVcddVVnHrqqWRmZu41XrtWrVq51++77z6aNm3KvHnzyM7OpnrOnsv5Hreg6fKqUqVK7jCSHTt25N7unGPy5Mm0i+FOGjEb8mFmqcAjwAlAe+AcM2sfuYxz7krnXFfnXFfgIeCVWOUREYlHWVnw889502edlTfcuXZt3xsd8YtpUmrd2u/gGAyHZMoUP4Jl504//eOP8P33YaUTib6+ffvmDsfIzMykcePG1K1blyOOOILx48cD8O6777J+/XoAjjrqKCZPnszq1asBP9Y6p7c7x1FHHcXLL7+cu8xvv/3Gz5FvPhEmBQPHJ02axOGHHw7Axo0b2X///QF4togTNG3cuJH99tuPlJQUnn/++b3Gac+YMYPFixeTnZ3NpEmT6NOnDz179uTTTz9l7dq1ZGVlMWHCBI488shCH/+II45g0qRJZGVlsXLlSj7JOVYnfgz1rFmzAHJ7+AGOO+44Hnroodwx53PmzCn08csqlmOoewILnXOLnHO7gInAaUUsfw4wIYZ5RETiQtCBAsCQIX7YhnN+/PCECfDcc3nzGzas+Hzx7oILfK91zi/ad94JvXrl7Zy5ZUt42USiISMjg1mzZtG5c2duuOGG3AJ2zJgxTJkyhQ4dOvDKK69wQHCcy/bt2zN27FiOPfZYOnfuzLHHHsuv+faSzL/MMcccw8qVKwt8/vXr19O5c2ceeOAB7rvvvtxMZ511FocddhiNGzcuNPtf//pXnn32Wbp06cL333+/V+91jx49GDVqFIcccgitWrVi4MCB7Lffftx1113079+fLl26cNhhh3HaaYWXiwMHDqRNmza0b9+e888/P7fgz2mfyy+/nO7du5OacwxP4JZbbmH37t107tyZDh06cMsttxT6+GVlkXuIRvWBzc4EjnfOjQimhwK9nHOjCli2JTAdaO6c+90up2Z2MXAxQNOmTQ+bOHFiTDIXZ8uWLbl7mUr5qT2jT20aXbFoz/fea8pjj7XmxRe/pEaNLGbPrs/GjWkceeQaUpJgN/FYtOmaNVVZvLgWPXv63rrRo7vSsOEuMjK+K/Q+6ePG7bWDZKLS/3zp1KtXj4MOOqjIZbKysvYqxpJNx44d+fTTT2nUqFFUHi/W7XnJJZdw/PHHFzrmujQWLlzIxnyHGOrfv/8s51z34u4bLzslng28XFAxDeCcexx4HKB79+4u5zAoFS0zM5OwnrsyUntGn9o0uqLRnt+Pepjrl43i//0/Pwa6WjVYvRq6du3LfvvlDWNIFrHeRp3zY6vr1oV+/ZqQne2PfjJypB9Ok6t/f9JzjpeWwPQ/Xzrz58+nTu6xJAu2efPmYpepzMyM2rVrR60NYt2eaWlp1KhRIyrPUb16dbp161am+8ayoP4FiNzFtHlwW0HOBi6NYRYRkQrjHGzf7o8SUPuRu5jXchTLlvmC+vDD/UViwwwujfg0WbMm4oyNwG+/+RPaXEZd6oUTUSSu5R97He/GxckX41j+wPgV0MbMWplZVXzR/Eb+hczsYKAB8EUMs4iIVJghQ2DwYF9YN+cXFi/2h76Tite0qd+JcfBgICODaY1OYcwtWcyji6++zeLmGN1SMWI11FUSW3m3i5gV1M65PcAo4D1gPvCSc+5bM7vdzE6NWPRsYKLTFi4iCSzyHaz3hrfp99bVuGBQtKWocIsLGRmc4t5k8c+pHMFn4BzvvuP4bXRG2MmkglSvXp1169apqJa9OOdYt27dXof4K62YjqF2zr0DvJPvtlvzTWfEMoOISKytXAlnnw233upPQHLpOycBJwH/yjv1n8SN4MAIbNjgzzQ5aBA89VS4maRiNG/enOXLl7NmzZpCl9mxY0e5CivZW6K0Z/Xq1Wmec3apMoiXnRJFRBJW/fqwYwcEh4SVRDBmDPXr++EgOWe4W7PGf/8p4ohgkuDS0tL2OsNfQTIzM8u8Y5r8XrK0ZxIcpElEJPpmz4bzz/dnNaxRA6ZPhzPPLGDBnLO0SHwJht906wb77edvGj0aDj3UfzkSESkN9VCLiJTB4sXw4Yfw00/Qrp3v2SyQxk0njJtv9qd+z/l1eutWiDgnhYhIodRDLSJSQh9/DK+84q+ffjosWOCLaakcOnaE887z1z/7DNLTYcaMUCOJSIJQD7WISAk4B7fd5ocDDBzoe6R1grrKq0kTv4Nphw5+OufU8CIiBVEPtYhIEV5/HTZt8sXUhAmQmanCKhm0awcTJ/ohH1lZcOKJ/vUXESmICmoRkUIsXVqDgQPh4Yf9dLNmfgdESS4bNsC2bTr6oYgUTkM+REQiOOd3TOvWDQ44YDvvvw9HHhl2KglTo0bwySd5v0xMngyrV8PIkZCibikRQT3UIiJ7uesu6NULFi7000cfDWlp4WaS8KWk5BXUL78M48apx1pE8qiHWkSS3p49sHkzNGgAI0b4HdIOPBCWLw87mcSj8eP9SXxSU/2h9SZMgOHD1Vstksz07y8iSc05GDAAhg711/fZB/78ZxVHUjgzaNjQX3/hBbjoIn+iHxFJXuqhFpGktGcPVKnii6MLLvCnD9fRO6S0Lr4YunaF7t399Fdf+bMtpqaGm0tEKpb6YEQk6fz4I7Rv7890CL5H+owzws0kicnMj7kHWLYM+vaFv/0t3EwiUvHUQy0iSadFC2jdGqpVCzuJVCbNm8Ozz+YdFWbjRqhZUzu1iiQD9VCLSOWUkbHX5P/9H5x8MuzeDdWrw7vv+t5EkWgxg8GDYd99/fTw4dDaT44iAAAgAElEQVSvH2RnhxpLRCqACmoRqZxuu22vyW3b/E/yq1aFlEeSzpAhcN55eTu4qrAWqbxUUItIpeSAZ57JO1306afDrFn+Z3mRinD66fCXv/jrn33mTxb000/hZhKR2FBBLSKVR0aG/93dDIfxzPApTDz39dzhH1W014iEZNcuqFcvbziIiFQuKqhFpPLIyODnJY4d2x0pOF5bdwSvZp32u/HUIhXtqKPg00+hVi3IyvKHapw+PexUIhItKqhFpNLYsgX69IGRI/10w4Y6QYvEj5zjnC9dCpmZsOifk0PNIyLRox9ARaTSqF0b/v734CQbrcaEHUekQK1awXffQc3aZwKOjRv9cBARSVzquxGRhDdnTt6pn4cNg44d0TAPiWu1aoEB337rj4n+3/+GnUhEykMFtYgkNOf88X5HjPDXReJaxI6zAK061uSUdc/Qc9p94eYSkXLRkA8RSWhmMHkypKbmjVEViVsZGXm/nphR023jmWCWczBzJvToEVI2ESkz9VCLSEL65BO44w5//cADoWXLcPOIlNeLL0LPnn6HRRFJLOqhFpGE9PLLvvC4/HI/HlUk4YzZe8fZs86CjRvhiCNCyiMiZaYeahFJKDmnb37wQZg6VcW0JLB8O85WqwaXXuoP9bh2LTz/fDixRKT0VFCLSMJ45RU4/HD47Tc/ZrpBg7ATicTGv/4FF18My5aFnURESkIFtYgkjFq1/CU1NewkIrF1++0wbRq0aBF2EhEpCRXUIhL3Vqzwf487Dj76SCfBkMovLQ0OPdRff+stuPPOcPOISNFUUItIXHv5ZX/ii+nT/bQOjSfJ5rXX/HCnHTvCTiIihdFRPkQkrg0YAH/9K3TtGnYSkXA89hhs3QrVq/udciPOCyMicUI91CISl956C7KyoGFDv4NW9ephJxIJR2oq1K3r/x8uuABuuklnBRWJNyqoRSTuTJ0Kp5wCzzxT/LIiycIMateGOnXUQy0SbzTkQ0TiTp8+fszoqaeGnUQkfqSkwL//nVdMr1qlnmqReKEeahGJC87B2LGwaJGfHjhQh8cTyS+nmF6zBrp3h6efbhVuIBEBVFCLSJz45Re47z548cWwk4jEv8aN4c9/hn79VocdRUTQkA8RCZlzvteteXOYO9f/FZGimfkzl2dmbgXgk0/gyCP9sBARqXj61xOR0OzZA8OGweOP++kWLbSzlUhpzZjhDy/56KNhJxFJXuqhFpHQZGfD2rX+IiJl06OHHyp1xhlhJxFJXiqoRaTC7dzpj6lbsya88YZ2PhQpDzM491x/fds2ePBBuOYaqKJPeJEKoyEfIlKhnIOzzoLTTvM91CqmRaLn9dfh5pvhiy/CTiKSXPT9VUQqlJkvqLdv1w5UItF2zjnQpQu0bx92EpHkoo8zEakQmzf7o3gADB0KF18cbh6RyiqnmJ4+Hc4/H3btCjePSDJQQS0iFeIvf4Gjj4ZNm8JOIpIc5s3zRfX69WEnEan8VFCLSIW44w549lmoWzfsJCLJYeRIX1Q3ber3XVBPtUjsqKAWkZhZvRoeeMB/mB9wAJx0UtiJRJJLjRr+7403wimn+CPsiEj0qaAWkZh58kn/Qf7TT2EnEUlubdv6S9WqYScRqZxUUItIdGVk5F694QaYNQsOOii8OCICw4fDQw/5o+ysXg1bt0bMjPifFZGyUUEtIlG15LZxnHwyrFnjD4t3yCFhJxKRHHv2wDHHwKBBETfedltoeUQqCx2HWkSiaikHMHcuLF8O++wTdhoRiVSlCtx0k99RUUSiRz3UIlJ+GRn+t2QzjuAzFv5SnW6Hmn5KFolDgwdDv8wMMONDO5qN1M39/9X/rEjZqIdaRMovI4OrNmXQowecc65R3e0IO5GIFCUjg9V/zeC0VjBo2zM84y4MO5FIQlMPtYiU2/btMHMmfP112ElEpKSaNIH334eHGRV2FJGEpx5qESm3GjXgo4/8L8ZUGxN2HBEpod69gTHXsns3/O9/0K1b2IlEEpN6qEWkzDZuhGuv9YfgSkvzOzxpDKZIgsnI4NproW9fWLUq7DAiiUkFtYiU2Ycf+mPb/u9/YScRkfK45hp46ikd/UOkrFRQi0iZnXGGPwtir15hJxGR8mje3B/9A3wvtXPh5hFJNCqoRaTUpk6F2bP99f33DzeLiETP/PnQrh08/XTYSUQSi3ZKFJFScQ6uugp27fJFdYq+lotUGm3b+tOUDxgQdhKRxBLTj0IzO97MfjCzhWZ2QyHLDDKz78zsWzMbH8s8IlJ+ZvDOO/Df/6qYFqlsUlPh3nuhVSs/vXt3uHlEEkXMPg7NLBV4BDgBaA+cY2bt8y3TBrgR6O2c6wBcEas8IlJ+mZm+h7pxY2jTJuw0IhJLl10GgwZpPLVIScSyf6knsNA5t8g5twuYCJyWb5mLgEecc+sBnHOrY5hHRMrhiy+gf3948smwk4hIRWjd2o+nzs4OO4lI/DMXo6+eZnYmcLxzbkQwPRTo5ZwbFbHMa8ACoDeQCmQ45/6vgMe6GLgYoGnTpodNnDgxJpmLs2XLFmrXrh3Kc1dGas/oi2WbOgcfftiUI49cTdWqydFlpW00+tSm0aX2jD61aXQlenv2799/lnOue3HLhb1TYhWgDdAPaA5MMbNOzrkNkQs55x4HHgfo3r2769evXwXH9DIzMwnruSsjtWf0xaJNt271lyZNfA81HBLVx49n2kajT20aXRXRnvPnw+jR8OKL/n2gstM2Gl3J0p6xHPLxC9AiYrp5cFuk5cAbzrndzrnF+N5qjcwUiSOXXw6HHQZbtoSdRETCsHMnLFwIP/8cdhKR+BXLHuqvgDZm1gpfSJ8NnJtvmdeAc4BnzKwx0BZYFMNMIlJKl13mC+oE/sVORMqha1dYsADS0sJOIhK/YlZQO+f2mNko4D38+OinnXPfmtntwEzn3BvBvGPN7DsgC7jWObcuVplEpOS2boVataBLF38RkeSVlub3o3jsMX9IveOOCzuRSHyJ6VFknXPvOOfaOudaO+f+Edx2a1BM47yrnHPtnXOdnHPh7G0oIntZtw46doQHHww7iYjEi5074ZFH4IUXwk4iEn/C3ilRROJQjRpw9NHwxz+GnURE4kX16vDRR/449CKyN53nTET24hzUrAlPPAHdiz1QkIgkkyZN/BlS16+HcePCTiMSP1RQi0iu996Dvn1h1aqwk4hIPHvgAbj4Yli8OOwkIvFBBbWI5Nq2zfdQ16kTdhIRiWc33QRfful3UBQRFdQiEmHgQJg61Q/5EBEpTNWq0K2bv/7ll7B9e7h5RMKmglpEuO46mDzZXzcLN4uIJI6ff/bDxMaODTuJSLh0lA+RJLd9O3z6qR/qccYZYacRkUTSsiU8/zyccELYSUTCpYJaJMnVqAFTpkBqathJRCQRDR7s/2Zlwa+/wv77h5tHJAwa8iGSpDZtgptv9j3U1apBFX29FpFyuOACGDBA46klOamgFklS774L//wnzJsXdhIRqQwuvhhuuMH/6iWSbNQnJZKkBg+GXr0gPT3sJCJSGRxxhL8A7Njhz6wokizUQy2SZL74Ar7+2l9XMS0i0TZjBhx4IEyfHnYSkYqjHmqRJOIcjBrldx6aPdufQlhEJJratIGePaFRo7CTiFQcFdQiScQM3n4bNmxQMS0isdGgAbz2Wt60czq+vVR++kgVSRLTpvkPtn33hYMPDjuNiFR2WVlwxRVw551hJxGJPRXUIkng88+hTx94+umwk4hIskhJgTVrYN26sJOIxJ6GfIgkgT/8AZ56CoYMCTuJiCQLM3juOZ00SpKDeqhFKrFt23zvUEoKDB/uT+AiIlJRcorpBQtg5EjYsyfcPCKxooJapBK74gro3h22bg07iYgks5kzYfJkX1iLVEYa8iFSiV18MXTsCLVqhZ1ERJLZuefCCSf4I4CIVEbqoRaphLZv93+7d4fRo8PNIiICecX0s8/C4sXhZhGJNhXUIpXMb79Bp07w6KNhJxER2duaNXD55XD//WEnEYkuDfkQqWSqVoXeveHQQ8NOIiKyt3328YfxbNcu7CQi0aUeapFKpOUz46hd2/+k2qtX2GlERH6vfXt/9I9Nm2DKlIgZGRlhRRIpNxXUIpXEBx/An587nzVrwk4iIlK8yy6DU0+FDRuCG267LdQ8IuWhglqkktiwAbZSi5o1w04iIlK8O++EN9+E+vXDTiJSfiqoRRJdRgaYcdYg4wsOp1Zt86co08+nIhLHmjWDvh9lgBkLrC0O/HuX3r8kAamgFklwUwZk8MbrDpwjBf8X5/SBJCLxLyODGV86OlRZwNMM1/uXJCwV1CIJ7v774aqrYNeusJOIiJRe9+5++MdpvB52FJEy02HzRBLcpEmwbJk/XN6SCy4gPexAIiKlkJIC11wDbBkVdhSRMlMPtUiCWr0adu6EtDQ48EB/25Jhw0LNJCJSVmsuzeDEE+G998JOIlJ6KqhFEpBzcN55cMQR/rqISKKrW9efSXH16rCTiJSehnyIJCAzuPJKf5pxs7DTiIiUX7Vq8OWXfgiISKJRQS2SoE44IewEIiLRlVNMv/cetG4NBx0Ubh6RktL3QJEEc+ON8PDDYacQEYmNDRtg0CC4++6wk4iUnHqoRRJIVhZ8/TVs3Rp2EhGR2KhfHz74ALp0CTuJSMmpoBZJIKmp8NZbsHt32ElERGKnZ0//d/du2LMHatQIN49IcTTkQyRBfPghrFvnd0KsWjXsNCIisbVjhz/py803h51EpHgqqEUSwLZtMHgwXHpp2ElERCpG9eowcCAceWTYSUSKpyEfIgmgZk3IzITatcNOIiJScTIywk4gUjIqqEXi3I4dvqemU6ewk4iIVLzsbHjiCd+hMGRI2GlECqYhHyJxbPt2v6f7v/4VdhIRkXCYwYsvwmuvhZ1EpHDqoRaJY3v2wIABcOihYScREQmHGbzxBtSrF3YSkcKpoBaJY3XqwKOPhp1CRCRc9ev7vxs2wKpV0K5duHlE8tOQD5E45Bxcfz0sWBB2EhGR+OAcHHssnH22vy4ST9RDLRKHFi6Exx6DAw+Etm3DTiMiEj4zfzryunX9dZF4ooJaJA61aeN7pxs3DjuJiEj86Ncv77pzKqwlfmjIh0ic+fpr/7dJE0jRf6iIyO/cdpsOoSfxRR/XInHkq6/8YfKeeSbsJCIi8SstDWrUgN27w04i4mnIh0gc6doV7r8fzjor7CQiIvHrxhs13EPii3qoReKEc77X5fLLdYpxEZGi5BTTixbBhAnhZhEBFdQicWHpUujZE2bPDjuJiEjiuP12GD0atm4NO4kkOxXUInFg1SrYsQMaNgw7iYhI4rj7bpg7F2rVCjuJJDuNoRaJAz16+KN7aEygiEjJNWmSd33tWh1qVMKjHmqREG3dCo8/DllZKqZFRMpqzBh/hKRNm8JOIslKPdQiIRo/HkaOhG7dfC+1iIiU3kknQWoqVK0adhJJViqoRUI0YoTvVVExLSJSdj17+otIWDTkQyQE2dmwfr0f5qEPARGR6Jg+HYYP9++xIhVJBbVICJ55Btq2hYULw04iIlJ5/PgjfPAB/Pxz2Ekk2aigFglBz55w7rlw4IFhJxERqTzOOw++/x5atQo7iSSbmBbUZna8mf1gZgvN7IYC5g8zszVmNje4jIhlHpF40akTPPAApOgrrYhI1Jj5Y1JnZ0NmZthpJJnE7OPczFKBR4ATgPbAOWbWvoBFJznnugaXJ2OVRyQeTJkCV12ls3qJiMTSv/8N/fvDnDlhJ5FkEcv+sZ7AQufcIufcLmAicFoMn08k7k2bBq+/rmNOi4jE0oUXwoQJ0LVr2EkkWZhzLjYPbHYmcLxzbkQwPRTo5ZwbFbHMMOBOYA2wALjSObesgMe6GLgYoGnTpodNnDgxJpmLs2XLFmrXrh3Kc1dGydqe27enUqNGVkweO1nbNFbUntGnNo0utWfxsrL8MapLSm0aXYnenv3795/lnOte3HJhH4f6TWCCc26nmY0EngUG5F/IOfc48DhA9+7dXb9+/So0ZI7MzEzCeu7KKJnac+lS2LHDH9kjlpKpTSuC2jP61KbRpfYsWmYmXHIJfPwxtGhR0vuoTaMpWdozlkM+fgEiN9/mwW25nHPrnHM7g8kngcNimEckNNddB3/8I2zbFnYSEZHkkZ4O+++v/VYk9mLZQ/0V0MbMWuEL6bOBcyMXMLP9nHMrg8lTgfkxzCMSmvvv9zvH1KwZdhIRkeSRnq6jfUjFiFkPtXNuDzAKeA9fKL/knPvWzG43s1ODxUab2bdmNg8YDQyLVR6RMGQFQ6X33RdOOCHcLCIiyWrbNrjrLti+PewkUlnFdAy1c+4d4J18t90acf1G4MZYZhAJ07XX+vHTkyaVbqcYERGJnq++ghtvhDZt4Iwzwk4jlVHYOyWKVGrNmvm/KqZFRMJz5JEwfz4cfHDYSaSyUkEtEkPXXBN2AhERgbxiesUK2G8/nQ9AoksnPhaJgf/+VzvCiIjEm9mz4aCDIKTTWUglph5qkShzDu68Exo08D8zqhdERCQ+dOkCo0dD375hJ5HKRgW1SJSZwdSpsGGDimkRkXiSmuqP9iESbRryIRJFS5f6Q+XVrJm3Q6KIiMSXNWvg3HP9+QFEokEFtUiU7NoFxxzj36RFRCR+paXB55/DvHlhJ5HKQkM+RKIkLQ1uvx322SfsJCIiUpT69eGHH6BatbCTSGWhglokSsxg8OCwU4iISEnkFNNffAGtW0OTJuHmkcSmIR8i5eQcDBmiwzCJiCSaVaugXz+4446wk0iiUw+1SDlt3AiLpyxj7eEtwo4iIiKl0LQpvPaaDqMn5aeCWqSc6teHqctb4v6SHXYUEREppRNO8H+zs/1FpCw05EOkHL74AjZvhhQcqalhpxERkbLYsgX69IH77gs7iSQqFdQiZbTjb2M59Y9rGFF3kr/BzF8yMkLNJSIipVO7NrRvD82bQ/q4cWHHkQSkIR8iZVR97N945zSoWXMwdDzb750oIiIJ6ckngyvnPgsqqqWUVFCLlEOPHmEnEBGRaMnOhv8yiK4/QLt2YaeRRKIhHyJlcMcdcNNNEZ3SY8aEmkdERMohIwPMWJ/aiBE8yWMH36shfFIq6qEWKYOlS/3h8syCG/SmKyKSuDIyICODRsDn1on2e76B1KvCTiUJRAW1SBn85z+QlRV2ChERibZO/A9S/Xu8jt4kJaUhHyKlsGaN750GvdGKiFRGSy64gNmz4aCDYPbssNNIolBBLVIKY8fCIYfA+vVhJxERkVhYMmwYrVtD27b6JVJKTkM+RErh6quhe3do0CDsJCIiEiv16sF774WdQhKJeqhFSuGAA2Do0LBTiIhIRdi2DSZNCjuFJAIV1CIlsGiRL6SXLw87iYiIVJQnnoCzz4Zvvgk7icQ7FdQiJTB7Nrz7rnZEFBFJJhddBFOnQqdOYSeReKeCWqQEzjwTli2D/fYLO4mIiFSUmjWhd29/PfdEXiIFUEEtUoxFi/zfGjXCzSEiIuF48EE45RQV1VI4FdQiRfjmG38s0ueeCzuJiIiEpUoVqF7d76QoUhAV1CJFSE/3x54++eSwk4iISFj+8hd4+WWoVSvsJBKvVFCLFKFOHbjpJmjYMOwkIiISFjP/d+VKHfFDCqaCWqQQN90En30WdgoREYkHzsExx/gjf4jkpzMlihRg3To/brpuXejbN+w0IiISNjN49FFo1izsJBKPVFCLFKBRI/jxx7BTiIhIPFEHixRGQz5E8lm71v+0V6OGDpUnIiJ727QJhg+HV14JO4nEExXUIhGcg4ED4dRTw04iIiLxqFYtmDcPliwJO4nEEw35EIngnN/hpGrVsJOIiEg8Sk2FGTP8X5EcKqhFIqSkwPnnh51CRETiWU4x/b//wcEH+xO/SHLTkA+RwEcf+SN7ZGWFnUREROLdl19Cp04wfnzYSSQeqKAWCYwbB3//ux/2ISIiUpSePeGBB+CUU8JOIvFAP1KIBJ59Flas0E93IiJSPDMYPTrsFBIv1EMtSS8rC7Zv9+OnmzcPO42IiCSSOXNg6FDYtSvsJBImFdSS9CZMgIMOgsWLw04iIiKJZvVqeP99+P77sJNImPTjtiS91q3hxBOhZcuwk4iISKI59ljfIVOzZthJJEwqqCXpHX64v4iIiJSWmS+mnYNly+CAA8JOJGHQkA9JWjt3wr33wubNYScREZFEN3o09OoF27aFnUTCoB5qSVoffABXXw0dO/qf7ERERMpqyBDo3BnS0sJOImFQQS1J6+ST4ZtvoEOHsJOIiEii+8Mf/EWSk4Z8SFLavdv/7djRj38TEREpL+dg0iR/ojBJLiqoJels2QLt2ukNT0REosvMnyTsmWd01t1koyEfknS2bvVH9WjXLuwkIiJS2Tz/PNSvr18/k40Kakk6TZvCiy+GnUJERCqjRo383127YM8eHZ86WWjIhySVt96CpUvDTiEiIpXZ5s3+V9C77go7iVQUFdSSNHbuhOHD4Zprwk4iIiKVWZ06MHQoHHlk2EmkomjIhySNatVg5kzIygo7iYiIVHa33x52AqlI6qGWpJCzt/UBB0CrVuFmERGR5LBtG9xzD6xeHXYSibVie6jNrDvQF2gGbAf+B3zgnFsf42wiUXPddbBqlT9UXoq+RoqISAVYtgyuv94PARk5Muw0EkuFFtRmdiFwGbAYmAX8AFQH+gDXm9n/gFucc9rFS+Je7dq+p0DFtIiIVJR27eCHH+Cgg8JOIrFWVA91TaC3c257QTPNrCvQBlBBLXFvzJiwE4iISDLKKaZ37vT78kjlVGh/nXPukcKK6WD+XOfcR7GJJRIdy5fDV1+FnUJERJLZG29Aixb+M0kqpyLHUJtZdeBkfj+G+m3n3LexjydSPnffDY8/7t/EGjcOO42IiCSjzp2hf39/ohepnArtoTaz24BpwOHAl8BjwEvAHuAuM/vAzDoX9eBmdryZ/WBmC83shiKWO8PMXLADpEjU/OMf8PrrKqZFRCQ86ekwaZL/K5VTUT3UM5xzhY08vdfMmgAHFHZnM0sFHgGOAZYDX5nZG8657/ItVwe4HF+0i0RVnTpw3HFhpxAREYGVKyEzE845J+wkEm1FjaF+u6g7OudWO+dmFrFIT2Chc26Rc24XMBE4rYDl/g78P2BHCfKKlMj8+f4MVT/8EHYSERER7+674c9/ht9+CzuJRJu5nDNeFLaAH4ZxM9AS36NtgHPOFTfc40zgeOfciGB6KNDLOTcqYplDgZudc2eYWSZwTUFFupldDFwM0LRp08MmTpxY8jWMoi1btlC7du1QnrsyimV7fvVVAx56qA0PPTSHevV2x+Q54pG20ehSe0af2jS61J7RF8s2Xb8+je3bU2nWLHn6EBN9G+3fv/8s51yxQ5JLcurxF4FrgW+A7PIGy2FmKcC9wLDilnXOPQ48DtC9e3fXr1+/aMUolczMTMJ67soolu3Zrx9ccw2Y9Y7J48crbaPRpfaMPrVpdKk9o6+i2jQ7OznOjZAs22hJXso1zrk3nHOLnXM/51xKcL9fgBYR082D23LUAToCmWa2BPgD8IZ2TJTymjbNv1GZhZ1ERETk9y67DIYNCzuFRFNJCuoxZvakmZ1jZqfnXEpwv6+ANmbWysyqAmcDb+TMdM5tdM41ds6lO+fSgenAqcWMyxYp0uzZ0KcPPPZY2ElEREQK1rgxNGkCxYy6lQRSkiEfFwIHA2nkDflwwCtF3ck5t8fMRgHvAanA0865b83sdmCmc+6Nou4vUhadO8Nzz8Gf/hR2EhERkYLp7L2VT0kK6h7OuXZleXDn3DvAO/luu7WQZfuV5TlEIlWpAkOHhp1CRESkeHPnQs2a0LZt2EmkvEoy5ONzM2sf8yQi5TR8OEyeHHYKERGR4m3b5s+emJERdhKJhpL0UP8BmGtmi4GdlPCweSIVacMG/02/a9ewk4iIiBSvZk149VXo0iXsJBINJSmoj495CpFyql8fZs2CrKywk4iIiJRMEhxNLmkUOuTDzGoDRB4qL/9h83KWEQnTokWwY4c/TF6VknxFFBERiRM//wxHHw3Tp4edRMqjqDHUr5vZv8zsCDOrlXOjmR1oZn82s/dQ77WEzDkYNAiOOSbsJCIiIqXXqBGsWgUrV4adRMqj0P4859xRZnYiMBLobWYNgD3AD8DbwAXOuV8rJqZIwczgnntg+/awk4iIiJRe7drw9dc6GVmiK/IH8oIOeycSbzQGTUREEpmZ/8V12jR/cjJJPElwFnmprF57DcaOhZ07w04iIiJSPhMmQN++8OmnYSeRslBBLQnr449h0kOrSEsLO4mIiEj5nH46PPMM/PGPYSeRslBBLQnrwQdhxup0UrQVi4hIgqteHYYNI6+TSGd8SSglKkXMrI+ZXRhc38fMWsU2lkjRtm71f2uwI9wgIiIiUfT22zB0KLjbbgs7ipRCsQW1mY0BrgduDG5KA16IZSiRosy/9GGa1t7Cu3aCv8HMX/RtXkREEtzKlTBnDqxhn7CjSCmUpId6IHAqsBXAObcCqBPLUCJFqX7NKM7+c226r37X3+Ccv6igFhGRRJaRwYUXpfL1tyk0YY06jBJISc4rt8s558zMAUSe5EUkDK1awZNPhp1CREQkyjIySA2K511WlS3rdtGwYbiRpGRK0kP9kpk9BtQ3s4uAD4EnYhtLpGAffuhPNZ5rzJjQsoiIiMTCnj3QgW+5/vqwk0hJFdtD7Zy7x8yOATYB7YBbnXMfxDyZSD7Z2XDRRdC2Lbz3XnCjfgYTEZFKpkoVGH38j7Q9s03YUaSESjLkA2AB4JxzH5pZTTOr45zbHMtgIvmlpPizSG3cGHYSERGR2Lrs3RPDjiClUOCQDzNrHnH9IuBl4LHgpv2B12IfTeT3mjWDQw4JO4WIiEjsbdwIDz8Mu3aFnUSKU9gY6r5mNjq4fuA6DL8AACAASURBVCnQGz/kA+fcj0CTCsgmkmvaNBg82B9OSEREJBl8/jlcdpk/M7DEtwILaufcBGBLMLnLOZf73cjMqgCuArKJ5Fq8GGbOhHr1wk4iIiJSMY47DubOheOPDzuJFKfQo3w4554Ormaa2U1AjWDnxP8Cb1ZEOJEc550HP/4INWuGnURERKRipKRAly5hp5CSKMlh824A1gDfACOBd4C/xTKUSKRff/V/U0qytYqIiFQyY8f6o1xJ/Cq2RHHOZTvnnnDOneWcOzO4riEfUiE2bYJ27eD228NOIiIiEo7t22HbNn/4WIlPxR42z8x6AxlAy2B5wx9C78DYRhOB1FR/7pYBA8JOIiIiEo6xY/0ZyCV+leQ41E8BVwKzgKzYxhHZW61acNVVYacQEREJT04xvWIF1K+v/YniUUlGpW50zr3rnFvtnFuXc4l5Mkl6U6fC22/rJy4REZGFC6FlSxg3LuwkUpCS9FB/Ymb/BF4Bdubc6JybHbNUIsD998OsWf5NREREJJm1bg133QUnnBB2EilISQrqXsHf7hG3OUCjWiWmJkyARYv8OGoREZFkZgZXXx12CilMsQW1c65/RQQRyS8tzR/hQ0RERLxvvoH33oNrrgk7iUQqdgy1mVUzs3PN7CYzuzXnUhHhJDmtWAGHHgpffBF2EhERkfjy5puQkfH/27vzsCvrOo/j7y+4AOKCoqBhLIklprkQWjoGao1mguM22oaZmqOUjV6N2ViSTlk5ZU0614hruYRbo5i4ZIpL5riEKZYmmigCoUggiiDymz/ugz4S8JyHs/zO8n5d131xlptzPn49D8/3uZ/v/bth7tzcSdRROScl3giMAZYBr3XYpJqYM6f41dYWW+ROIklSYxk3Dl54we+RjaacGeoBKSWvIq+62WWX4mRESZL0bhtt9M7tlFyfulGUc4T6/ojYoeZJJIoVPZYuzZ1CkqTGtWQJfPKTxaofagzlNNR7Ao9ExFMR8VhEPB4Rj9U6mNpPSjB6NIwZkzuJJEmNa/31YfPNYeONcyfRCuWMfLjioermxz92mTxJkjrzs5/lTqCOylk2b0ZEfAj4h9JD96aU/lDbWGpHEfCJT+ROIUlSc0gJHnwQRoxwljq3cpbNOwm4EtiitF0REV+udTC1lyefhO9/HxYuzJ1EkqTmcNVVsPvuLjPbCMqZof4isFtK6VsppW8BuwPH1jaW2s3NNxfranpCoiRJ5TnoILj44mJ1LOVVTkMdwFsd7r9VekyqmlNOKS4z3rdv7iSSJDWHDTaAo4+GHj1yJ1E5JyVeCvxfRPxv6f5BwMW1i6R2s3w5dOsGW26ZO4kkSc3n6qth/nw4/vjcSdpXp0eoU0o/Ar4AvFLavpBS+nGtg6k9LF0Kw4bBhRfmTiJJUnO6/vpi1Y+UcidpX6s9Qh0Rm3a4+1xpe/u5lNIrtYuldrFwIQwfDgMH5k4iSVJzmjChuIKiK33ks6aRj0eARDEv/V5gfun2JsDzwOCap1PL69sXrrgidwpJkprXJpsUfy5bVoxQdivnDDlV1WpLnlIanFIaAtwBHJhS6ptS2gz4FHB7vQKqdc2c2ZMXXsidQpKk5vfkk7DNNnDbbbmTtKdyfobZPaU0ecWdlNItwEdrF0ntYsKEIXz4w8VP1JIkae0NGVKMUG64Ye4k7amcVT5mRcTpwIpfzH8GmFW7SGoXJ544nY033px1yvkUSpKk1VpvPbjuutwp2lc5R6iPBDYH/hf4Zen2kbUMpfbQr98S9tsvdwpJklrHq6/CXXflTtF+1nhsMCK6A99IKZ1UpzxqAwsXwr/+K4wc2TN3FEmSWspppxVXT5w9+52TFVV7azxCnVJ6C9izTlnUJn7/e7jmGnj9dWc9JEmqppNPhilTbKbrrZyOZmpETAKuBV5b8WBK6Zc1S6WWNnJk8ZPzww+/mjuKJEktZciQYlN9ldNQ9wDmAXt3eCxRzFNLXbJ4MfTsCb17504iSVJrWrwYzjoLdtsNxozJnaY9dNpQp5S+UI8gag//+I/FOpmXXJI7iSRJrWn99eGGG4oLvNhQ10enDXVEDAB+CuxReuhe4KSU0sxaBlPrWb4cPvlJ6N8/dxJJklpXt27F+Uo9euRO0j7KGfm4FLgKOKx0/7Olxz5eq1BqTd26wde/njuFJEmtb0Uz/eqrXuylHspZh3rzlNKlKaVlpe0yirWopbLNng233w4p5U4iSVJ7uPrq4rfCzz+fO0nrK6ehnhcRn42I7qXtsxQnKUplu/BC2G8/mDEjdxJJktrD7rvDUUfhFYnroJwSH00xQ31u6f5vAU9UVJeceirsuScMGpQ7iSRJ7WHgQDj//Nwp2kM5q3zMAEbXIYta2Prrw957d76fJEmqrj/9CebOhY99LHeS1tXpyEdEDIiI/42IuaXt+tLKH1Knli+Hww+HyZNzJ5EkqT2NHQtf/WruFK2tnBnqS4FJwFal7abSY1Kn5syBJ56AV17JnUSSpPZ08cXFwgCqnZqu8hER+0XEUxExPSL+bsG0iDg+Ih6PiEcj4r6IGNbF/GpwW20F06bBkUfmTiJJUnvaYQfY3PXZaqpmq3xERHfgfGB/YBhw5Coa5qtSSjuklHYCfgD8qIv51cDmz4c334QI6N49dxpJktrXs88WV0384x9zJ2lN5TTURwOHA3OA2cChlLfKxwhgekrp2ZTSUmAi8K4LYKaUFna4uwHgKsUt5NRTYfvtYdmy3EkkSWpvG24IU6fCM8/kTtKaItXoShsRcSiwX0rpmNL9zwG7pZTGrbTficDJwHrA3imlp1fxWscBxwH069dv14kTJ9Ykc2cWLVpE7969s7x3M3rwwT688EIvDjnkxVU+bz2rz5pWl/WsPmtaXdaz+lq5psuXF1ctrqdmr+eoUaMeSSkN72y/ThvqiPgZcFJK6W+l+32AH6aUju7k75XVUHfY/9PAP6aUxq7pdYcPH54efvjhNWaulSlTpjBy5Mgs792KrGf1WdPqsp7VZ02ry3pWX6vXNKViwYAtt6zP+zV7PSOirIa6nJ9TdlzRTAOklOYDO5fx914Etu5wf0DpsdWZCBxUxuuqwS1dCuedBwsW5E4iSZI6+vKX4cMfLs5xUvWU01B3Kx2VBiAiNqW8Kyw+BAyNiMERsR5wBMXye2+LiKEd7h4A/N24h5rPHXcUX7APPJA7iSRJ6ujQQ+H004vxD1VPOY3xD4HfRcS1pfuHAd/p7C+llJZFxDjgNqA7cElK6YmIOBN4OKU0CRgXEfsCbwLzgTWOe6g5fPKT8OijsOOOuZNIkqSORo4sNlVXOZce/3lEPAysuHD0wSmlshZdSSlNBiav9Ni3Otw+qQtZ1UQ+9KHcCSRJ0qosWwY33ABDh/r9ulrKOtczpfTHlNJ5pc0VDLVaRx8N3/1u7hSSJGl13ngDjjkGLrwwd5LWUc7Ih1SWt94qvkiXLMmdRJIkrU7v3nD//fD+9+dO0jpsqFU13bvDVVcVS/JIkqTGNWzla1erInVe3lut6tVXYdas4nZE3iySJKlzt9wCI0bAa6/lTtL8bKhVFRdeCIMGwYwZuZNIkqRybLQRrLMOzJ6dO0nzc+RDVXHQQcXlTAcOzJ1EkiSVY489illqVc4j1KqKIUPgq1/NnUKSJHXV66/D88/nTtHcbKhVsbPPhieeyJ1CkiR1VUqw227wpS/lTtLcHPlQRWbOhLPOgp49Yfvtc6eRJEldEQHjx0O/frmTNDcbalVkwICiqV5//dxJJEnS2jjkkNwJmp8jH1prK9ab3nRT2GCDvFkkSdLae/ll+Pa34ZVXcidpTjbUWmunnw4HHgjLluVOIkmSKjF7dtFQ33FH7iTNyZEPrbUttihGPtbxUyRJUlPbYYdipY8BA3InaU62QlprJ52UO4EkSaqWFc10Sl71uKsc+VCXLV8Ovz364rdnqCVJUms46yzYZ5/cKZqPDbW67PbbYc9Lv8ikSbmTSJKkaurfH7bZBpYsyZ2kudhQq8s+9jG4lKPYf//cSSRJUjUdeyxMmOByuF1lQ63yjR8PEfTsFRzFz1hv/XhnRXhJktQynn4a/vrX3Cmahw21yjd+PBN/kbjyikSC4qyFlGyoJUlqIS+9BMOGwY8PuTd3lKbhKh/qkksvhTfegM/kDiJJkmpi883h8sth5JGHAXNyx2kKNtTqkltugXnzgPPPyB1FkiTVyBFHAEc681EuRz7UJd26FT+5OuYhSVILKp0vRQT38xHOim96vlQZbKhVloULi6soTZ6cO4kkSaqZ8ePfPkdqCiM5t89ZzH/F86U6Y0OtssydWxyZ7ts3dxJJklQPX+anzJoFffrkTtL4nKFWWbbZBu68M3cKSZJULxuecQr0yJ2iOXiEWp2aNw8WLcqdQpIk1dX48cyYAR/9KNx6a+4wjc2GWp36zndg4EBYvDh3EkmSVE/9+0P37vDmm7mTNDZHPtSpI44oRj569sydRJIk1dP668O9Xt+lUzbU6tSIEcUmSZLa01tvwaxZsPXWuZM0Jkc+tEaXXw7PPZc7hSRJyumgg+DAA4sV9fT3bKi1Wq+8Al/8Ilx0Ue4kkiQpp+OPh9NPz52icTnyodXadFN45hlYb73cSSRJUk4HHJA7QWPzCLXWaOutoV+/3CkkSVJuCxbABRfAG2/kTtJ4bKi1SvfdB5//PMyZkzuJJElqBA89VIx+/PrXuZM0Hkc+tErPPAN33w0bbZQ7iSRJagR77w2PPAI775w7SePxCLVWaexYePZZ6NUrdxJJktQIunWDXXaBiNxJGo8Ntf7Oiisidu+eN4ckSWosKcFpp8F55+VO0lhsqPV3Ro6EY4/NnUKSJDWaCJg6FZ58MneSxuIMtd5l+XI4+GAYMCB3EkmS1IhuvtnfYq/Mhlrv0q0bnHpq7hSSJKlRrWimFy+Gnj3zZmkUjnzobUuXwh13FEepJUmSVufii2HLLeFvf8udpDHYUOttN90EH/84/OY3uZNIkqRGtssuxYpgS5fmTtIYHPnQ2w44AK69tlhnUpIkaXV23tn1qDvyCLXe1qMHHHqoJxpIkqTyTJsGL7yQO0V+NtQC4PLL4aKLivUlJUmSOjN/fjH6ce65uZPk58iHALj6anj9dTjmmNxJJElSM+jTB66/HnbfPXeS/GyoBRQnJHqmriRJ6ooDD8ydoDE48iFSKq581KdP7iSSJKnZ3HknnH127hR52VC3uQULYNttYdKk3EkkSVIzuuMOOO+84kIv7cqGus3Nmwfvfz9stVXuJJIkqRmddho891x7XzXRGeo2N2QI/OpXuVNIkqRmteGG79xeMUbabjxC3cbmzvVEREmSVLknnyyW0Lv//txJ8rChbmPf/S4MGlQslydJkrS2BgyADTaAN97InSQPRz7a2FFHwQ47QK9euZNIkqRm1rs33Htv7hT52FC3sZ12KjZJkqRqePNNmDMHtt46d5L6cuSjTV14ITz1VO4UkiSpleyzDxx5ZO4U9WdD3YZeeQXGjYMrr8ydRJIktZJTTimW0Ws3jny0oU03hRkzYB3/70uSpCoaMyZ3gjw8Qt2m+veHvn1zp5AkSa3m5Zfh/PNh2bLcSerHhrrN3H03HH44zJqVO4kkSWpF991XjJbed1/uJPVT04Y6IvaLiKciYnpEfH0Vz58cEX+MiMci4jcRMbCWeQQzZ8LUqdCnT+4kkiSpFR1wAEybBiNH5k5SPzVrqCOiO3A+sD8wDDgyIoattNtUYHhKaUfgOuAHtcqjwmc+A3/+M/TsmTuJJElqReuuC9tvnztFfdXyCPUIYHpK6dmU0lJgIvCuUfWU0l0ppRXX6XsAGFDDPG1v4cLiz4i8OSRJUmtbtgxOOgluvnnL3FHqIlJKtXnhiEOB/VJKx5Tufw7YLaU0bjX7nwfMSSn9xyqeOw44DqBfv367Tpw4sSaZO7No0SJ69+6d5b2r4Utf2pWBA1/jG994MncUoPnr2YisaXVZz+qzptVlPavPmlbPSSftxLbbvsyJJ87MHWWtjRo16pGU0vDO9muIhdMi4rPAcOBjq3o+pTQBmAAwfPjwNDLTUM6UKVPI9d6VWr4cTjgB+vffkJEj++eOAzR3PRuVNa0u61l91rS6rGf1WdPqmToV7rnn0baoZy0b6heBjheeHFB67F0iYl/g34GPpZSW1DBPW+vWrfjViyRJUj10Kw0Wv/469OqVN0ut1XKG+iFgaEQMjoj1gCOASR13iIidgQuA0SmluTXM0taWLIGbbmqv9SAlSVJ+1103gPe+t2iqW1nNGuqU0jJgHHAb8CfgmpTSExFxZkSMLu12DtAbuDYiHo2ISat5OVXgpptg9Gi4667cSSRJUjvZbruFHHNMcXCvldV0hjqlNBmYvNJj3+pwe99avr8KY8YUTfXee+dOIkmS2sn22y/kxBNzp6g9r5TYBtZdFz71KejePXcSSZLUblKChx9u7as021C3uEsugfPOKz7MkiRJ9TZ7NowYARdckDtJ7TTEsnmqnZtvhgULYNwqV/+WJEmqra22ghtvhL32yp2kdmyoW9z118OiRblTSJKkdnbggbkT1JYjHy1s+fLiTy/4JEmScvvVr+Ccc3KnqA0b6hY1fz4MGgS//GXuJJIkSXD77TBhQmteF8OGukUtWFCcADB4cO4kkiRJ8B//AU8+Ceu04MBxC/4nCYqj09ddlzuFJElSYaONij9Tgoi8WarNI9QtaPZsmOuF3CVJUoOZOhW23x4efTR3kuqyoW5BZ58N73sfvP567iSSJEnvGDgQttgCFi/OnaS6HPloQf/yL8X8dK9euZNIkiS9Y9NNYcqU3Cmqz4a6BW23XbFJkiQ1osWL4eWXYeutcyepDkc+Wsx558Hjj+dOIUmStHof+Qgce2zuFNXjEeoWMn8+/Nu/FdsOO+ROI0mStGrf/Cb06ZM7RfXYULeQPn1g5szcKSRJktbskENyJ6guRz5azKabFpskSVIjmzUL/uu/YPny3EkqZ0PdIu68Ez71KXjxxdxJJEmSOnfnnXDSSa2xJrUNdYt4+WWYMQM22yx3EkmSpM4dcgg8/TTsskvuJJWzoW4Rhx8Ojz0GPXrkTiJJktS5nj1hm21yp6gOG+oWMG8epAQRuZNIkiSVb/FiOO44uOKK3EkqY0PdAj7+cfj0p3OnkCRJ6poePeAPf4AXXsidpDIum9fkli+H44+Hvn1zJ5EkSeqaCHjggeb/LbsNdZPr1q34VYkkSVIzWtFML1oEvXvnzbK2HPloYm+8AddeC0uW5E4iSZK09s48E4YOhTffzJ1k7XiEuon96lfF6h6//jXsu2/uNJIkSWtnzz2LBRaWLIF1182dputsqJvYP/0T3HEHjBqVO4kkSdLa23vvYmtWjnw0se7dYZ99ijlqSZKkZpYS3HsvvPRS7iRdZyvWpP7nf+Ccc4oPnyRJUrObPh322gsuuyx3kq6zoW5Sd98Nv/lN8y8zI0mSBMVJiZMmwQkn5E7Sdc5QN6lf/KJY5UOSJKlVHHhg7gRrxyPUTWjZsuLPHj3y5pAkSaq2a6+Fc8/NnaJrbKibzCunfp8BA+Caa3InkSRJqr5bboHLL2+u88RsqJvMaz84j098At7//txJJEmSqu8nP4FHHmmu88ScoW4yWzOTn/88dwpJkqTa2HDD4s+Umqep9gh1Mxg/HiKYGQOYyXuKT1dE8bgkSVKL+e1vYZtt4Omncycpjw11Mxg/HlLih1+dybb8mddfS8WPbTbUkiSpBQ0eDEOGwGuv5U5SHhvqJnLCCXAJR9OrV+4kkiRJtbPVVvDrX8NOO9EUBxBtqJvI0KFwxBkfyB1DkiSpLl59FV749sW5Y3TKhrpJXH013H8/TfFTmiRJUqVSgg99CE7mR7mjdMqGugmkBKeeWiwjI0mS1PLGjye6Bd/7y+FFQ93gCzK4bF4TiIBp0+Bvf8udRJIkqQ7Gj4fx4zkcikaowa/yYkPdJHr3LjZJkiQ1Fkc+GtzSpXDwwXD33bmTSJIkZXDGGbkTdMqGusE99xz84Q+waFHuJJIkSRk06Nx0R458NLhtt4Xp0xt+dEiSJKlt2VA3sOXL3zmptVmuZS9JktRuHPloYDfcUFzH/tlncyeRJEnS6thQN7A+fWCXXeC9782dRJIkSavjyEcDGzWq2CRJktS4PELdoJ5/3pU9JEmSmoENdYP6yleKcQ9X95AkSWpsjnw0qK99DebMcXUPSZKkRmdD3aD22CN3AkmSJJXDkY8GdOWVxcVcJEmS1PhsqBvMwoXwhS/ARRflTiJJkqRyOPLRYDbaqLiQS/fuuZNIkiSpHDbUDWjAgNwJJEmSVC5HPhrInDkwdiw89VTuJJIkSSqXDXUDmTYNJk2Ct97KnUSSJEnlcuSjgey7L/z1r7DeermTSJIkqVweoW4QK66IaDMtSZLUXGraUEfEfhHxVERMj4ivr+L5vSLi9xGxLCIOrWWWRnfuufDRj8Lrr+dOIkmSpK6oWUMdEd2B84H9gWHAkRExbKXdngeOAq6qVY5m0bcvDBkCvXrlTiJJkqSuqOUM9QhgekrpWYCImAiMAf64YoeU0nOl55bXMEdT+Pzni02SJEnNJdKK4d1qv3AxwrFfSumY0v3PAbullMatYt/LgF+llK5bzWsdBxwH0K9fv10nTpxYk8ydWbRoEb179676686duz6bbbak7S7mUqt6tjNrWl3Ws/qsaXVZz+qzptXV7PUcNWrUIyml4Z3t1xSrfKSUJgATAIYPH55GjhyZJceUKVOoxXvvuCMMHgw33lj1l25otapnO7Om1WU9q8+aVpf1rD5rWl3tUs9aNtQvAlt3uD+g9Jg6SAm++U1o4h/eJEmS2lotG+qHgKERMZiikT4C+HQN368pRcBhh+VOIUmSpLVVs1U+UkrLgHHAbcCfgGtSSk9ExJkRMRogIj4cETOBw4ALIuKJWuVpRCnBVVfBvHm5k0iSJGlt1XSGOqU0GZi80mPf6nD7IYpRkLY0bRp85jNwwQVw3HG500iSJGltNMVJia3qgx+E3/++OCFRkiRJzcmGOqMI2Hnn3CkkSZJUiZpeelyrN3UqnHoqvPRS7iSSJEmqhA11Jg8+CP/937DeermTSJIkqRI21Jl86UswZw5svHHuJJIkSaqEDXVGG2yQO4EkSZIqZUOdwSmnwOc+V6xDLUmSpObmKh8ZbLQRLF1arPIhSZKk5mZDncEZZ+ROIEmSpGpx5KPO5s7NnUCSJEnVZENdR0uXwgc+AKedljuJJEmSqsWRjzpatgzGj4ddd82dRJIkSdViQ11HvXrBV76SO4UkSZKqyZGPOlm8GG66CZYsyZ1EkiRJ1WRDXSe33gqjR8M99+ROIkmSpGqyoa6TT30KJk+GUaNyJ5EkSVI1OUNdJ+uuC/vvnzuFJEmSqs0j1HVwxx1w7rnOT0uSJLUiG+o6mDwZfvjD4ii1JEmSWosNdR386Efw2GPQzWpLkiS1HFu8Otl009wJJEmSVAs21DU2diycdVbuFJIkSaoVG+oaSqm43Pjy5bmTSJIkqVZcNq+GIuDKK3OnkCRJUi15hLqGFi7MnUCSJEm1ZkNdI7Nnw+abw2WX5U4iSZKkWrKhrpFu3eCUU+AjH8mdRJIkSbXkDHWN9OsH3/1u7hSSJEmqNY9Q18DcufDQQ8UqH5IkSWptNtQ1cPnlMGIE/OUvuZNIkiSp1hz5qIGjj4bBg2HIkNxJJEmSVGseoa6BPn3g4INzp5AkSVI92FBX2fXXw9VX504hSZKkenHko8ouuABeew3++Z9zJ5EkSVI92FBX2a23Fqt8SJIkqT048lFl3bpB//65U0iSJKlebKirJCUYMwauvDJ3EkmSJNWTDXWVLFgA8+fD4sW5k0iSJKmenKGukk02gXvu8eqIkiRJ7cYj1FWQErzxRnE7Im8WSZIk1ZcNdRU8+CD06wf33ps7iSRJkurNhroKNtwQDjsMdtghdxJJkiTVmzPUVTBsGFx0Ue4UkiRJysEj1BV6/vlikyRJUnuyoa7Q978P223ncnmSJEntypGPCp1yCuyzD/TsmTuJJEmScrChrtCQIcUmSZKk9uTIRwWuuALuuy93CkmSJOVkQ72Wli+Hb3wDLrggdxJJkiTl5MjHWurWDZ58EhYsyJ1EkiRJOdlQV6BXr2KTJElS+3LkYy0sXgwHHgj33JM7iSRJknKzoV4Lzz0HTz0FS5bkTiJJkqTcHPlYC9ttVzTUkiRJkkeou+ittyAliCg2SZIktTcb6i665hoYPBhmzMidRJIkSY3AhrqL+veHPfaArbfOnUSSJEmNwBnqLho1qtgkSZIk8Ah1l8ya1YOFC3OnkCRJUiOxoe6Cn/xkKLvvnjuFJEmSGklNG+qI2C8inoqI6RHx9VU8v35EXF16/v8iYlAt81Tq1M3+m+99L3cKSZIkNZKaNdQR0R04H9gfGAYcGRHDVtrti8D8lNI2wLnA92uVpxoOvuVbjB6dO4UkSZIaSS2PUI8ApqeUnk0pLQUmAmNW2mcM8LPS7euAfSIac3XnSy+FPzM0dwxJkiQ1mEgp1eaFIw4F9kspHVO6/zlgt5TSuA77TCvtM7N0/5nSPi+v9FrHAccB9OvXb9eJEyfWJPOqDLrsMjb+2Y1swVxO42zO5AwAnhs7lueOOqpuOVrRokWL6N27d+4YLcWaVpf1rD5rWl3Ws/qsaXU1ez1HjRr1SEppeGf7NcWyeSmlCcAEgOHDh6eRI0fW781HjoTL4PnZ0H2r84rLJAKDSpvW3pQpU6jr/8s2YE2ry3pWnzWtLutZfda0utqlnrUc+XgR6Hj5kwGlx1a5T0SsA2wMzKthprW25ZawBS/ljiFJkqQGU8uG+iFgaEQMjoj1gCOASSvtMwkYW7p9KHBnqtUMShU8N3Zs5ztJkiSprdSsoU4pLQPGAbcBfwKuSSk9ERFnRsSKOYTh0gAACFtJREFUtTIuBjaLiOnAycDfLa3XSJyZliRJ0spqOkOdUpoMTF7psW91uP0GcFgtM0iSJEm15JUSJUmSpArYUEuSJEkVsKGWJEmSKmBDLUmSJFXAhlqSJEmqgA21JEmSVAEbakmSJKkCNtSSJElSBWyoJUmSpArYUEuSJEkVsKGWJEmSKmBDLUmSJFXAhlqSJEmqgA21JEmSVAEbakmSJKkCNtSSJElSBWyoJUmSpArYUEuSJEkVsKGWJEmSKmBDLUmSJFUgUkq5M3RJRLwEzMj09n2BlzO9dyuyntVnTavLelafNa0u61l91rS6mr2eA1NKm3e2U9M11DlFxMMppeG5c7QK61l91rS6rGf1WdPqsp7VZ02rq13q6ciHJEmSVAEbakmSJKkCNtRdMyF3gBZjPavPmlaX9aw+a1pd1rP6rGl1tUU9naGWJEmSKuARakmSJKkCNtSSJElSBWyoVxIR+0XEUxExPSK+vorn14+Iq0vP/19EDKp/yuZSRk33iojfR8SyiDg0R8ZmUkY9T46IP0bEYxHxm4gYmCNnMymjpsdHxOMR8WhE3BcRw3LkbBad1bPDfodERIqIll9Sq1JlfEaPioiXSp/RRyPimBw5m0U5n9GIOLz0b+kTEXFVvTM2mzI+o+d2+Hz+OSL+liNnzaSU3Eob0B14BhgCrAf8ARi20j4nAP9Tun0EcHXu3I28lVnTQcCOwM+BQ3NnbuStzHqOAnqVbv+Ln9Gq1HSjDrdHA7fmzt2oWzn1LO23IXAP8AAwPHfuRt7K/IweBZyXO2szbGXWcygwFehTur9F7tyNvJX7dd9h/y8Dl+TOXc3NI9TvNgKYnlJ6NqW0FJgIjFlpnzHAz0q3rwP2iYioY8Zm02lNU0rPpZQeA5bnCNhkyqnnXSml10t3HwAG1Dljsymnpgs73N0A8Gzu1Svn31GAs4DvA2/UM1yTKremKk859TwWOD+lNB8gpTS3zhmbTVc/o0cCv6hLsjqxoX639wAvdLg/s/TYKvdJKS0DFgCb1SVdcyqnpipfV+v5ReCWmiZqfmXVNCJOjIhngB8AX6lTtmbUaT0jYhdg65TSzfUM1sTK/bo/pDTqdV1EbF2faE2pnHpuC2wbEb+NiAciYr+6pWtOZX9vKo0hDgburEOuurGhllpURHwWGA6ckztLK0gpnZ9Seh9wKnB67jzNKiK6AT8CTsmdpcXcBAxKKe0I/Jp3fpOqtbMOxdjHSIqjqRdGxCZZE7WOI4DrUkpv5Q5STTbU7/Yi0PGn+gGlx1a5T0SsA2wMzKtLuuZUTk1VvrLqGRH7Av8OjE4pLalTtmbV1c/oROCgmiZqbp3Vc0Pgg8CUiHgO2B2Y5ImJa9TpZzSlNK/D1/pFwK51ytaMyvmanwlMSim9mVL6C/BnigZbq9aVf0ePoMXGPcCGemUPAUMjYnBErEfxP33SSvtMAsaWbh8K3JlKE/ZapXJqqvJ1Ws+I2Bm4gKKZdu6vc+XUtOM30gOAp+uYr9mssZ4ppQUppb4ppUEppUEUc/6jU0oP54nbFMr5jG7Z4e5o4E91zNdsyvm+dAPF0Wkioi/FCMiz9QzZZMr6Xh8RHwD6AL+rc76as6HuoDQTPQ64jeIfo2tSSk9ExJkRMbq028XAZhExHTgZWO2SUCqvphHx4YiYCRwGXBART+RL3NjK/IyeA/QGri0tT+QPMGtQZk3HlZbOepTi637sal6u7ZVZT3VBmTX9Sukz+geKGf+j8qRtfGXW8zZgXkT8EbgL+FpKyd9Gr0YXvu6PACa24oFILz0uSZIkVcAj1JIkSVIFbKglSZKkCthQS5IkSRWwoZYkSZIqYEMtSZIkVcCGWpIyiYhNIuKE3DkAIuKrEdFrDc9fFxFD1vD8f0bE3rVJJ0mNzYZakvLZBGiIhhr4KrDKhjoitge6p5TWdGGLn+K6/JLalA21JOXzPeB9pQvwnAMQEV+LiIci4rGI+HbpsUER8WREXBYRf46IKyNi34j4bUQ8HREjSvuNj4jLI+J3pcePLT2+ZUTcU3qfaRHxDx1DRMRXgK2AuyLirlXk/AxwY2nf7qUc0yLi8Yj4V4CU0gyKi171r02pJKlxrZM7gCS1sa8DH0wp7QQQEZ8AhgIjgAAmRcRewPPANhRXEz2a4jK/nwb2pLjM9DeAg0qvuSOwO7ABMDUibgaOBG5LKX0nIrqz0pHolNJ/RcTJwKiU0suryLkH8IvS7Z2A96SUPljKvEmH/X5f2vf6tSuHJDUnG2pJahyfKG1TS/d7UzTYzwN/SSk9DhARTwC/SSmliHgcGNThNW5MKS0GFpeONo+gaMAviYh1gRtSSo92MdeWwEul288CQyLip8DNwO0d9ptLcaRbktqKIx+S1DgCODultFNp2yaldHHpuSUd9lve4f5y3n1wJK30mimldA+wF/AicFlEfL6LuRYDPUovNh/4EDAFOB64qMN+PUr7SlJbsaGWpHxeBTbscP824OiI6A0QEe+JiC26+JpjIqJHRGwGjAQeioiBwF9TShdSNMC7lJGloz9RjJwQEX2Bbiml64HTV3qtbYFpXcwrSU3PkQ9JyiSlNK90YuE04JaU0tciYjvgdxEBsAj4LPBWF172MeAuoC9wVkppVkSMBb4WEW+WXnNVR6gnALdGxKyU0qiVnruZojm/A3gPcGlErDggcxpAaZxkG+DhLmSVpJYQKa3820FJUjOKiPHAopTSf1b5dXtSNOl7pJRW2dxHxD8Bu6SUvlnN95akZuDIhyRpjUonOZ5BcXR6ddYBflifRJLUWDxCLUmSJFXAI9SSJElSBWyoJUmSpArYUEuSJEkVsKGWJEmSKmBDLUmSJFXg/wH23GQ94PlHDAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,10))\n", "plt.plot(t,y,'r+',label='y=f(t)')\n", "plt.plot(t,Ymodel,'b:',label='modèle parabolique')\n", "plt.legend()\n", "plt.xlabel(\"temps t (s)\")\n", "plt.ylabel(\"coordonnée (m))\")\n", "plt.grid()\n", "plt.title(\"Evolution des coordonnées au cours d'un mouvement parabolique\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 4 }